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Simplifying 10ln(x + 4) = 30 Reorder the terms: 10ln(4 + x) = 30 (4 * 10ln + x * 10ln) = 30 (40ln + 10lnx) = 30 Solving 40ln + 10lnx = 30 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -30 + 40ln + 10lnx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 40ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-3 + 4ln + lnx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-3 + 4ln + lnx)' equal to zero and attempt to solve: Simplifying -3 + 4ln + lnx = 0 Solving -3 + 4ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4ln + 3 + lnx = 0 + 3 Reorder the terms: -3 + 3 + 4ln + lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4ln + lnx = 0 + 3 4ln + lnx = 0 + 3 Combine like terms: 0 + 3 = 3 4ln + lnx = 3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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